Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₁⋊D₄

Direct product G=N×Q with N=C₅ and Q=C₁₁⋊D₄

		d	ρ	Label	ID
C₅×C₁₁⋊D₄		220	2	C5xC11:D4	440,28

Semidirect products G=N:Q with N=C₅ and Q=C₁₁⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₁⋊D₄) = C₁₁⋊D₂₀	φ: C₁₁⋊D₄/Dic₁₁ → C₂ ⊆ Aut C₅	220	4+	C5:1(C11:D4)	440,22
C₅⋊₂(C₁₁⋊D₄) = C₅₅⋊D₄	φ: C₁₁⋊D₄/D₂₂ → C₂ ⊆ Aut C₅	220	4-	C5:2(C11:D4)	440,20
C₅⋊₃(C₁₁⋊D₄) = C₅₅⋊₇D₄	φ: C₁₁⋊D₄/C₂×C₂₂ → C₂ ⊆ Aut C₅	220	2	C5:3(C11:D4)	440,38

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